Rotation

A rotation of a planar figure is a transformation that preserves area and angles, but not orientation. The resulting figure is congruent to the first.

Suppose we wish to rotate triangle $ABC$ $60^{\circ}$ clockwise around a point $O$, also known as the center of rotation.

We would first draw segment $AO$. Then, we would draw a new segment, $A'O$ such that the angle formed is $60^{\circ}$, and $AO=A'O$. Do this for points $B$ and $C$, to get the new triangle $A'B'C'$

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